Exact solution of a reaction-diffusion process with three-site interactions
Statistical Mechanics
2008-11-26 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
The one-dimensional reaction diffusion process AA->A and A0A->AAA is exactly solvable through the empty interval method if the diffusion rate equals the coagulation rate. Independently of the particle production rate, the model is always in the universality class of diffusion-annihilation. This allows us to check analytically the universality of finite-size scaling in a non-equilibrium critical point.
Keywords
Cite
@article{arxiv.cond-mat/0010062,
title = {Exact solution of a reaction-diffusion process with three-site interactions},
author = {Malte Henkel and Haye Hinrichsen},
journal= {arXiv preprint arXiv:cond-mat/0010062},
year = {2008}
}
Comments
Latex, 12 pages, with 3 figures included